A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems

Table 1

Numerical results of Example 1: .

	Analytic solution	Approximate solution	Error by proposed method	Error by method [5]
0.0	0	0	0	0
0.1	0.0953101798	0.0957100706	0.0003998908	0.009
0.2	0.1823215568	0.1836519852	0.0013304284	0.013
0.3	0.2623642645	0.2648256813	0.0024614168	0.031
0.4	0.3364722366	0.3400108156	0.0035385790	0.045
0.5	0.4054651081	0.4098275640	0.0043624559	0.054
0.6	0.4700036292	0.4747771017	0.0047734725	0.058
0.7	0.5306282511	0.5352702927	0.0046420416	0.058
0.8	0.5877866649	0.5916474874	0.0038608225	0.053
0.9	0.6418538862	0.6441934825	0.0023395963	0.044
1.0	0.6931471806	0.6931471806	0	0.000